The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  7  7  1  1  1  1  1  1  1  1  1  1 42  1  1  1  1 21  1  1  1  1  1 21  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1 31 16 48  4 19  0 36 31  1 16 19 48 36  4  7 38 26  9  9  6  6 44 20 46 46  1  1 32 32  7 43 38 26 21 43 45 33  1 21 22 45 33  1 44 20 42 22 11  1 37 27 31 19 38 23 13 40 24 37 20 26  0  7 23 12 42 48 24  6 33  9 21  3 40 14 34 45 16 14 44  3 34 12
 0  0 35 21 42  7 14 21  7 28 14  7 35  0  0 42 28 14 42 28  7 21 35 21 14 28  0 42 42 14  7 35 42 21 28 35 21  0  7 14 28 35  7  0 42 21 28 14 28 14 21 35  0 42 35  7  0  7  7 28  7 14 21 14 14 35 21 42 21 28 14  0  0 35 28 28  7 42 42 21  0  0 42 35 35 21

generates a code of length 86 over Z49 who´s minimum homogenous weight is 508.

Homogenous weight enumerator: w(x)=1x^0+3906x^508+2646x^509+168x^511+3402x^515+882x^516+108x^518+588x^522+2646x^523+42x^525+2394x^529+6x^532+18x^553

The gray image is a code over GF(7) with n=602, k=5 and d=508.
This code was found by Heurico 1.16 in 7.5 seconds.